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GCF of 5763/938, 7169/7619

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 5763/938, 7169/7619 i.e 1/7146622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5763/938, 7169/7619.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5763/938,7169/7619?

Given fractions are 5763/938,7169/7619

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5763/938,7169/7619, numerators are 5763,7169

Denominators are 938,7619

The GCF of 5763,7169 is 1 .

LCM of 938,7619 is 7146622.

The greatest common factor of 5763/938,7169/7619 = [GCF of 5763,7169]/[LCM of 938,7619]= 1/7146622

Therefore, the GCF of 5763/938,7169/7619 is 1/7146622.

Greatest Common Factor of 5763,7169

To find the highest common factor of 5763,7169, we have to find the factors of both numbers and list the highest common factor.

The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763

The factors of 7169 are 1, 67, 107, 7169

The HCF of 5763,7169 is 1.

Lets's calculate GCF of 5763,7169

Greatest Common Factor (GCF) of 5763,7169 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5763,7169 By Matching Biggest Common Factor Method

Greatest Common Factor of 5763,7169 By Matching Biggest Common Factor Method

Now, list down the factors of 5763

:

1,3,17,51,113,339,1921,5763

Now, list down the factors of 7169

:

1,67,107,7169

Greatest Common Factor

We found the factors 5763,7169 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,7169 is 1.


Lets's calculate LCM of 938,7619

Lowest Common Multiple of 938,7619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7146622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7146622

Therefore, the GCF of Fractions 5763/938,7169/7619 is 1/7146622

Least Common Multiple of 938,7619 with GCF Formula

Least Common Multiple of 938,7619 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 938,7619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,7619) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(938,7619) x common factors =1 x 1 = 1

LCM(938,7619) = ( 938 × 7619 ) / 1

LCM(938,7619) = 7146622 / 1

LCM(938,7619) = 7146622


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5763/938, 7169/7619

1. What is the HCF of 5763,7169?

The HCF of 5763,7169 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5763/938, 7169/7619?

Answer: GCF of Numerators as per given numbers 5763/938, 7169/7619 is

GCF of Numerators i.e. for 5763,7169 is 1

LCM of denominators i.e. for 938,7619 is 7146622.

Thus, GCF of Fractions is 1/7146622.Finally, GCF of Fractions for 5763/938, 7169/7619 is 1/7146622.